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AP Physics 2
9.5 Specific Heat and Thermal Conductivity
IntermediateMCQProportional AnalysisConceptual22.9k
A composite rod with insulated outer walls connected between hot and cold thermal reservoirs.
A composite rod with insulated outer walls connected between hot and cold thermal reservoirs.
A composite rod consists of two cylindrical segments, Segment 1 and Segment 2, made of the same uniform material. Both segments have length \(L\), but Segment 1 has cross-sectional area \(A\) while Segment 2 has cross-sectional area \(2A\). The rod is connected between a hot reservoir at temperature \(T_H\) and a cold reservoir at temperature \(T_C\), and its outer surfaces are thermally insulated. Once the system reaches steady state, how do the heat transfer rate \(H_1\) through Segment 1 and the temperature difference \(\Delta T_1\) across Segment 1 compare to the heat transfer rate \(H_2\) through Segment 2 and the temperature difference \(\Delta T_2\) across Segment 2?

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